1) A train travels 220 miles in 4 hours at a constant speed. At this rate, how far does the train travel in 3 hours? Circle One: A. Proportional (solve) B. No Proportional (explain why)

Question

UpStudy AI · Accepted Answer

To determine whether the relationship between the distance traveled by the train and the time is proportional, we can analyze the situation.

1. **Calculate the speed of the train**: 
   The train travels 220 miles in 4 hours. To find the speed, we divide the distance by the time:
   $$
   \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{220 \text{ miles}}{4 \text{ hours}} = 55 \text{ miles per hour}
   $$

2. **Calculate the distance traveled in 3 hours**:
   Using the speed we calculated, we can find out how far the train travels in 3 hours:
   $$
   \text{Distance} = \text{Speed} \times \text{Time} = 55 \text{ miles per hour} \times 3 \text{ hours} = 165 \text{ miles}
   $$

3. **Determine if the relationship is proportional**:
   A relationship is proportional if the ratio of distance to time remains constant. In this case, the speed (distance per unit time) is constant at 55 miles per hour. Therefore, the distance traveled is directly proportional to the time traveled.

**Conclusion**: The relationship is proportional.

**Circle One**: A. Proportional (solve)
The train travels 165 miles in 3 hours. The relationship is proportional.

A train travels 220 miles in 4 hours at a
constant speed. At this rate, how far
does the train travel in 3 hours?
Circle One:
A. Proportional (solve)
B. No Proportional (explain why)

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Arithmetic Questions